Displaying similar documents to “Uniform Finsler Hadamard manifolds”

Volume comparison theorem for tubular neighborhoods of submanifolds in Finsler geometry and its applications

Bing-Ye Wu (2014)

Annales Polonici Mathematici

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We consider the distance to compact submanifolds and study volume comparison for tubular neighborhoods of compact submanifolds. As applications, we obtain a lower bound for the length of a closed geodesic of a compact Finsler manifold. When the Finsler metric is reversible, we also provide a lower bound of the injectivity radius. Our results are Finsler versions of Heintze-Karcher's and Cheeger's results for Riemannian manifolds.

On geodesic mappings of special Finsler spaces

Bácsó, Sándor

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The author previously studied with and [Publ. Math. 42, 139-144 (1993; Zbl 0796.53022)] the diffeomorphisms between two Finsler spaces F n = ( M n , L ) and F ¯ n = ( M n , L ¯ ) which map the geodesics of F n to geodesics of F ¯ n (geodesic mappings).Now, he investigates the geodesic mappings between a Finsler space F n and a Riemannian space ¯ n . The main result of this paper is as follows: if F n is of constant curvature K and the mapping F n ¯ n is a strongly geodesic mapping then K = 0 or K 0 and L ¯ = e ϕ ( x ) L .

On special Berwald metrics.

Tayebi, Akbar, Peyghan, Esmaeil (2010)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

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